Paper Citation Record · LEDGER

Degree Majorization and Laplacian Eigenvalue Sums for Simplicial Complexes

As of 16 August 2026, this Paper Citation Record lists 26 of 26 outbound references and 0 inbound Pith citation observations for arXiv:2607.20910.

A citation records a reference. It does not transfer a finding from one paper to another.

pith.paper-citation-record.v1
2607.20910 v1

Coverage vector

measured 26 of 26 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-15T15:42:41.019858Z

measured 26 of 26 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-15T06:32:42.880941+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: cited_works

Reference resolution

26 of 26 outbound references displayed

verified exact3
verified fuzzy13
unresolved10
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation d7b0d276-581f-4576-b576-16b059edf057 · outbound

This paper cites Aharoni, E.

Degree Majorization and Laplacian Eigenvalue Sums for Simplicial Complexes Aharoni, E

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T15:42:41.388574Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 9b9158b9-d99a-4cb4-bf74-d40bbf4b2115 · outbound

This paper cites Bai, The Grone–Merris conjecture,Trans.

Degree Majorization and Laplacian Eigenvalue Sums for Simplicial Complexes Bai, The Grone–Merris conjecture,Trans

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T15:42:41.375703Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 731b06fc-241b-4dc2-84df-33a8b7303850 · outbound

This paper cites an unresolved cited work.

Degree Majorization and Laplacian Eigenvalue Sums for Simplicial Complexes Unresolved cited work

Reference 3

Resolution: unresolved; raw_fallback, observed 2026-08-15T15:42:41.365710Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 1a88e26f-75f3-4743-b8c2-82e6749674e1 · outbound

This paper cites an unresolved cited work.

Degree Majorization and Laplacian Eigenvalue Sums for Simplicial Complexes Unresolved cited work

Reference 4

Resolution: unresolved; raw_fallback, observed 2026-08-15T15:42:41.355185Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 9ba4cd74-a9ad-4b15-9583-af2e8f33a584 · outbound

This paper cites an unresolved cited work.

Degree Majorization and Laplacian Eigenvalue Sums for Simplicial Complexes Unresolved cited work

Reference 5

Resolution: unresolved; raw_fallback, observed 2026-08-15T15:42:41.345088Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 64423287-7e9f-4852-94af-27beb7d7e5a3 · outbound

This paper cites Eckmann, Harmonische Funktionen und Randwertaufgaben in einem Komplex,Comment.

Degree Majorization and Laplacian Eigenvalue Sums for Simplicial Complexes Eckmann, Harmonische Funktionen und Randwertaufgaben in einem Komplex,Comment

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T15:42:41.334649Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 84518108-df99-47d0-8a9a-c5d0fc0e2f40 · outbound

This paper cites Fan, On a theorem of Weyl concerning eigenvalues of linear transformations I,Proc.

Degree Majorization and Laplacian Eigenvalue Sums for Simplicial Complexes Fan, On a theorem of Weyl concerning eigenvalues of linear transformations I,Proc

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T15:42:41.323581Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation c020ba47-8fba-487d-a017-9f85fc1da1d2 · outbound

This paper cites Signless Laplacian spectral radius of simplicial complexes without holes.

Degree Majorization and Laplacian Eigenvalue Sums for Simplicial Complexes Signless Laplacian spectral radius of simplicial complexes without holes

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-15T15:42:40.950270Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b3ce89e3-4187-487a-8792-883d8b33daa6 · outbound

This paper cites Fan, H.-F.

Degree Majorization and Laplacian Eigenvalue Sums for Simplicial Complexes Fan, H.-F

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T15:42:41.313381Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 37fa2530-ea44-4244-a435-bb4915961731 · outbound

This paper cites Signless Laplacian Spectral Radius and Link Homology of Simplicial Complexes.

Degree Majorization and Laplacian Eigenvalue Sums for Simplicial Complexes Signless Laplacian Spectral Radius and Link Homology of Simplicial Complexes

Reference 10

Resolution: verified exact; local_arxiv, observed 2026-08-15T15:42:41.191634Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation ce489949-6cbb-4b3e-a4b0-f351fce91836 · outbound

This paper cites Grone and R.

Degree Majorization and Laplacian Eigenvalue Sums for Simplicial Complexes Grone and R

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T15:42:41.302857Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 2a34b32e-a4ae-4bf5-b4d8-ee1f52438baa · outbound

This paper cites On the sum of the two largest eigenvalues of the curl-curl operator on graphs.

Degree Majorization and Laplacian Eigenvalue Sums for Simplicial Complexes On the sum of the two largest eigenvalues of the curl-curl operator on graphs

Reference 12

Resolution: verified exact; local_arxiv, observed 2026-08-15T15:42:41.177814Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 608d4ca8-8baf-4e31-bd7c-b1260550f1c7 · outbound

This paper cites Horak and J.

Degree Majorization and Laplacian Eigenvalue Sums for Simplicial Complexes Horak and J

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T15:42:41.292098Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 9905239f-77e3-48ee-bc49-2da8efde5aa9 · outbound

This paper cites Horak and J.

Degree Majorization and Laplacian Eigenvalue Sums for Simplicial Complexes Horak and J

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T15:42:41.282072Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 55c3b6cf-c7da-4ad5-a854-a12c2eecbce0 · outbound

This paper cites The Duval--Reiner Conjecture: Counterexamples and the Second Partial-Sum Inequality.

Degree Majorization and Laplacian Eigenvalue Sums for Simplicial Complexes The Duval--Reiner Conjecture: Counterexamples and the Second Partial-Sum Inequality

Reference 15

Resolution: verified exact; local_arxiv, observed 2026-08-15T15:42:41.162684Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation d8c34f61-4099-4ab0-9d59-974fb1c10b17 · outbound

This paper cites Kaufman and I.

Degree Majorization and Laplacian Eigenvalue Sums for Simplicial Complexes Kaufman and I

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T15:42:41.271326Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 2330915b-4b48-4c9e-a27e-8f8c073aa54d · outbound

This paper cites On Brouwer's Laplacian conjecture.

Degree Majorization and Laplacian Eigenvalue Sums for Simplicial Complexes On Brouwer's Laplacian conjecture

Reference 17

Resolution: unresolved; no resolver link, observed 2026-08-15T15:42:40.987461Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 9775f9dc-d6a2-4089-873b-38a54c20fe00 · outbound

This paper cites Lew, Spectral gaps, missing faces and minimal degrees,J.

Degree Majorization and Laplacian Eigenvalue Sums for Simplicial Complexes Lew, Spectral gaps, missing faces and minimal degrees,J

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T15:42:41.259375Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 5443493a-4e2d-484e-a217-d65393acbdf1 · outbound

This paper cites Sums of Laplacian eigenvalues and sums of degrees.

Degree Majorization and Laplacian Eigenvalue Sums for Simplicial Complexes Sums of Laplacian eigenvalues and sums of degrees

Reference 19

Resolution: unresolved; no resolver link, observed 2026-08-15T15:42:40.994871Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 632e33e7-ac0d-45a4-8812-d7719b645e19 · outbound

This paper cites Lew, The spectral gaps of generalized flag complexes and a geometric Hall-type theorem,Int.

Degree Majorization and Laplacian Eigenvalue Sums for Simplicial Complexes Lew, The spectral gaps of generalized flag complexes and a geometric Hall-type theorem,Int

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T15:42:41.247835Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 650777c0-faf7-4bf9-9a0b-6e37eb1f28aa · outbound

This paper cites Lubotzky, Ramanujan complexes and high dimensional expanders,Japan.

Degree Majorization and Laplacian Eigenvalue Sums for Simplicial Complexes Lubotzky, Ramanujan complexes and high dimensional expanders,Japan

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T15:42:41.234450Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 36ba52d5-59c4-4f72-ae4d-37dd06e059a8 · outbound

This paper cites She, Y.-Z.

Degree Majorization and Laplacian Eigenvalue Sums for Simplicial Complexes She, Y.-Z

Reference 22

Resolution: unresolved; no resolver link, observed 2026-08-15T15:42:41.005746Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 934ab135-da26-4ac3-996b-a840b3314add · outbound

This paper cites Song, H.-F.

Degree Majorization and Laplacian Eigenvalue Sums for Simplicial Complexes Song, H.-F

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T15:42:41.222981Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 526c729b-d035-4ecf-b21d-1f1c3ee7f46b · outbound

This paper cites an unresolved cited work.

Degree Majorization and Laplacian Eigenvalue Sums for Simplicial Complexes Unresolved cited work

Reference 24

Resolution: unresolved; raw_fallback, observed 2026-08-15T15:42:41.212308Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 74361335-e0b0-4744-91c0-fa365a916ac6 · outbound

This paper cites Signless Laplacian spectral radius of simplicial complexes without $r$-dimensional wheels.

Degree Majorization and Laplacian Eigenvalue Sums for Simplicial Complexes Signless Laplacian spectral radius of simplicial complexes without $r$-dimensional wheels

Reference 25

Resolution: unresolved; no resolver link, observed 2026-08-15T15:42:41.016102Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e72cc0f3-8d9d-46d1-99a2-f036631ba1f8 · outbound

This paper cites Upper Bounds for the Largest Laplacian Eigenvalue of Simplicial Complexes.

Degree Majorization and Laplacian Eigenvalue Sums for Simplicial Complexes Upper Bounds for the Largest Laplacian Eigenvalue of Simplicial Complexes

Reference 26

Resolution: unresolved; no resolver link, observed 2026-08-15T15:42:41.019858Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Pith citing papers

No inbound Pith citation observations are available.